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= \\pi \\cdot 10 \\cdot (9 - 4) = 50\\pi \\approx 157{,}08\\,\\text{cm}^3",[576,1150,1152,1170,1189,1207,1229,1250,1271],{"className":1151,"ariaHidden":635},[634],[576,1153,1155,1158,1161,1164,1167],{"className":1154},[639],[576,1156],{"className":1157,"style":915},[643],[576,1159,1101],{"className":1160,"style":701},[648,649],[576,1162],{"className":1163,"style":833},[700],[576,1165,807],{"className":1166},[837],[576,1168],{"className":1169,"style":833},[700],[576,1171,1173,1177,1180,1183,1186],{"className":1172},[639],[576,1174],{"className":1175,"style":1176},[643],"height:0.4445em;",[576,1178,597],{"className":1179,"style":650},[648,649],[576,1181],{"className":1182,"style":701},[700],[576,1184,1108],{"className":1185},[705],[576,1187],{"className":1188,"style":701},[700],[576,1190,1192,1195,1198,1201,1204],{"className":1191},[639],[576,1193],{"className":1194,"style":934},[643],[576,1196,1034],{"className":1197},[648],[576,1199],{"className":1200,"style":701},[700],[576,1202,1108],{"className":1203},[705],[576,1205],{"className":1206,"style":701},[700],[576,1208,1210,1214,1217,1220,1223,1226],{"className":1209},[639],[576,1211],{"className":1212,"style":1213},[643],"height:1em;vertical-align:-0.25em;",[576,1215,602],{"className":1216},[654],[576,1218,1117],{"className":1219},[648],[576,1221],{"className":1222,"style":701},[700],[576,1224,615],{"className":1225},[705],[576,1227],{"className":1228,"style":701},[700],[576,1230,1232,1235,1238,1241,1244,1247],{"className":1231},[639],[576,1233],{"className":1234,"style":1213},[643],[576,1236,1122],{"className":1237},[648],[576,1239,625],{"className":1240},[748],[576,1242],{"className":1243,"style":833},[700],[576,1245,807],{"className":1246},[837],[576,1248],{"className":1249,"style":833},[700],[576,1251,1253,1256,1259,1262,1265,1268],{"className":1252},[639],[576,1254],{"className":1255,"style":934},[643],[576,1257,1129],{"className":1258},[648],[576,1260,597],{"className":1261,"style":650},[648,649],[576,1263],{"className":1264,"style":833},[700],[576,1266,1134],{"className":1267},[837],[576,1269],{"className":1270,"style":833},[700],[576,1272,1274,1278,1282,1290,1294,1297],{"className":1273},[639],[576,1275],{"className":1276,"style":1277},[643],"height:1.0585em;vertical-align:-0.1944em;",[576,1279,1281],{"className":1280},[648],"157",[576,1283,1285],{"className":1284},[648],[576,1286,1289],{"className":1287},[1288],"mpunct",",",[576,1291,1293],{"className":1292},[648],"08",[576,1295],{"className":1296,"style":941},[700],[576,1298,1300,1306],{"className":1299},[648],[576,1301,1303],{"className":1302},[648,945],[576,1304,902],{"className":1305},[648],[576,1307,1309],{"className":1308},[665],[576,1310,1312],{"className":1311},[669],[576,1313,1315],{"className":1314},[673],[576,1316,1319],{"className":1317,"style":1318},[677],"height:0.8641em;",[576,1320,1322,1325],{"style":1321},"top:-3.113em;margin-right:0.05em;",[576,1323],{"className":1324,"style":686},[685],[576,1326,1328],{"className":1327},[690,691,692,693],[576,1329,895],{"className":1330},[648,693],[563,1332,1333,1334,1376,1377,1420,1421,1464,1465,949,1530,949,1594,1081],{},"Ein Rohr hat den Außendurchmesser ",[576,1335,1337,1355],{"className":1336},[579],[576,1338,1340],{"className":1339},[583],[585,1341,1342],{"xmlns":587},[589,1343,1344,1352],{},[592,1345,1346,1348,1350],{},[610,1347,1034],{},[897,1349,899],{},[897,1351,902],{},[627,1353,1354],{"encoding":629},"10\\,\\text{cm}",[576,1356,1358],{"className":1357,"ariaHidden":635},[634],[576,1359,1361,1364,1367,1370],{"className":1360},[639],[576,1362],{"className":1363,"style":934},[643],[576,1365,1034],{"className":1366},[648],[576,1368],{"className":1369,"style":941},[700],[576,1371,1373],{"className":1372},[648,945],[576,1374,902],{"className":1375},[648],", die Wandstärke ",[576,1378,1380,1399],{"className":1379},[579],[576,1381,1383],{"className":1382},[583],[585,1384,1385],{"xmlns":587},[589,1386,1387,1396],{},[592,1388,1389,1392,1394],{},[610,1390,1391],{},"1",[897,1393,899],{},[897,1395,902],{},[627,1397,1398],{"encoding":629},"1\\,\\text{cm}",[576,1400,1402],{"className":1401,"ariaHidden":635},[634],[576,1403,1405,1408,1411,1414],{"className":1404},[639],[576,1406],{"className":1407,"style":934},[643],[576,1409,1391],{"className":1410},[648],[576,1412],{"className":1413,"style":941},[700],[576,1415,1417],{"className":1416},[648,945],[576,1418,902],{"className":1419},[648]," und die Länge ",[576,1422,1424,1443],{"className":1423},[579],[576,1425,1427],{"className":1426},[583],[585,1428,1429],{"xmlns":587},[589,1430,1431,1440],{},[592,1432,1433,1435,1437],{},[610,1434,1391],{},[897,1436,899],{},[897,1438,1439],{},"m",[627,1441,1442],{"encoding":629},"1\\,\\text{m}",[576,1444,1446],{"className":1445,"ariaHidden":635},[634],[576,1447,1449,1452,1455,1458],{"className":1448},[639],[576,1450],{"className":1451,"style":934},[643],[576,1453,1391],{"className":1454},[648],[576,1456],{"className":1457,"style":941},[700],[576,1459,1461],{"className":1460},[648,945],[576,1462,1439],{"className":1463},[648],". Also ",[576,1466,1468,1491],{"className":1467},[579],[576,1469,1471],{"className":1470},[583],[585,1472,1473],{"xmlns":587},[589,1474,1475,1488],{},[592,1476,1477,1479,1481,1484,1486],{},[595,1478,608],{},[599,1480,807],{},[610,1482,1483],{},"5",[897,1485,899],{},[897,1487,902],{},[627,1489,1490],{"encoding":629},"R = 5\\,\\text{cm}",[576,1492,1494,1512],{"className":1493,"ariaHidden":635},[634],[576,1495,1497,1500,1503,1506,1509],{"className":1496},[639],[576,1498],{"className":1499,"style":915},[643],[576,1501,608],{"className":1502,"style":661},[648,649],[576,1504],{"className":1505,"style":833},[700],[576,1507,807],{"className":1508},[837],[576,1510],{"className":1511,"style":833},[700],[576,1513,1515,1518,1521,1524],{"className":1514},[639],[576,1516],{"className":1517,"style":934},[643],[576,1519,1483],{"className":1520},[648],[576,1522],{"className":1523,"style":941},[700],[576,1525,1527],{"className":1526},[648,945],[576,1528,902],{"className":1529},[648],[576,1531,1533,1555],{"className":1532},[579],[576,1534,1536],{"className":1535},[583],[585,1537,1538],{"xmlns":587},[589,1539,1540,1552],{},[592,1541,1542,1544,1546,1548,1550],{},[595,1543,620],{},[599,1545,807],{},[610,1547,1122],{},[897,1549,899],{},[897,1551,902],{},[627,1553,1554],{"encoding":629},"r = 4\\,\\text{cm}",[576,1556,1558,1576],{"className":1557,"ariaHidden":635},[634],[576,1559,1561,1564,1567,1570,1573],{"className":1560},[639],[576,1562],{"className":1563,"style":826},[643],[576,1565,620],{"className":1566,"style":721},[648,649],[576,1568],{"className":1569,"style":833},[700],[576,1571,807],{"className":1572},[837],[576,1574],{"className":1575,"style":833},[700],[576,1577,1579,1582,1585,1588],{"className":1578},[639],[576,1580],{"className":1581,"style":934},[643],[576,1583,1122],{"className":1584},[648],[576,1586],{"className":1587,"style":941},[700],[576,1589,1591],{"className":1590},[648,945],[576,1592,902],{"className":1593},[648],[576,1595,1597,1620],{"className":1596},[579],[576,1598,1600],{"className":1599},[583],[585,1601,1602],{"xmlns":587},[589,1603,1604,1617],{},[592,1605,1606,1608,1610,1613,1615],{},[595,1607,1029],{},[599,1609,807],{},[610,1611,1612],{},"100",[897,1614,899],{},[897,1616,902],{},[627,1618,1619],{"encoding":629},"h = 100\\,\\text{cm}",[576,1621,1623,1641],{"className":1622,"ariaHidden":635},[634],[576,1624,1626,1629,1632,1635,1638],{"className":1625},[639],[576,1627],{"className":1628,"style":786},[643],[576,1630,1029],{"className":1631},[648,649],[576,1633],{"className":1634,"style":833},[700],[576,1636,807],{"className":1637},[837],[576,1639],{"className":1640,"style":833},[700],[576,1642,1644,1647,1650,1653],{"className":1643},[639],[576,1645],{"className":1646,"style":934},[643],[576,1648,1612],{"className":1649},[648],[576,1651],{"className":1652,"style":941},[700],[576,1654,1656],{"className":1655},[648,945],[576,1657,902],{"className":1658},[648],[576,1660,1662],{"className":1661},[1085],[576,1663,1665,1721],{"className":1664},[579],[576,1666,1668],{"className":1667},[583],[585,1669,1670],{"xmlns":587,"display":1094},[589,1671,1672,1718],{},[592,1673,1674,1676,1678,1680,1682,1684,1686,1688,1691,1693,1696,1698,1700,1703,1705,1707,1710,1712],{},[595,1675,1101],{},[599,1677,807],{},[595,1679,597],{},[599,1681,1108],{},[610,1683,1612],{},[599,1685,1108],{},[599,1687,602],{"stretchy":601},[610,1689,1690],{},"25",[599,1692,615],{},[610,1694,1695],{},"16",[599,1697,625],{"stretchy":601},[599,1699,807],{},[610,1701,1702],{},"900",[595,1704,597],{},[599,1706,1134],{},[610,1708,1709],{},"2827",[897,1711,899],{},[604,1713,1714,1716],{},[897,1715,902],{},[610,1717,895],{},[627,1719,1720],{"encoding":629},"V = \\pi \\cdot 100 \\cdot (25 - 16) = 900\\pi \\approx 2827\\,\\text{cm}^3",[576,1722,1724,1742,1760,1778,1799,1820,1841],{"className":1723,"ariaHidden":635},[634],[576,1725,1727,1730,1733,1736,1739],{"className":1726},[639],[576,1728],{"className":1729,"style":915},[643],[576,1731,1101],{"className":1732,"style":701},[648,649],[576,1734],{"className":1735,"style":833},[700],[576,1737,807],{"className":1738},[837],[576,1740],{"className":1741,"style":833},[700],[576,1743,1745,1748,1751,1754,1757],{"className":1744},[639],[576,1746],{"className":1747,"style":1176},[643],[576,1749,597],{"className":1750,"style":650},[648,649],[576,1752],{"className":1753,"style":701},[700],[576,1755,1108],{"className":1756},[705],[576,1758],{"className":1759,"style":701},[700],[576,1761,1763,1766,1769,1772,1775],{"className":1762},[639],[576,1764],{"className":1765,"style":934},[643],[576,1767,1612],{"className":1768},[648],[576,1770],{"className":1771,"style":701},[700],[576,1773,1108],{"className":1774},[705],[576,1776],{"className":1777,"style":701},[700],[576,1779,1781,1784,1787,1790,1793,1796],{"className":1780},[639],[576,1782],{"className":1783,"style":1213},[643],[576,1785,602],{"className":1786},[654],[576,1788,1690],{"className":1789},[648],[576,1791],{"className":1792,"style":701},[700],[576,1794,615],{"className":1795},[705],[576,1797],{"className":1798,"style":701},[700],[576,1800,1802,1805,1808,1811,1814,1817],{"className":1801},[639],[576,1803],{"className":1804,"style":1213},[643],[576,1806,1695],{"className":1807},[648],[576,1809,625],{"className":1810},[748],[576,1812],{"className":1813,"style":833},[700],[576,1815,807],{"className":1816},[837],[576,1818],{"className":1819,"style":833},[700],[576,1821,1823,1826,1829,1832,1835,1838],{"className":1822},[639],[576,1824],{"className":1825,"style":934},[643],[576,1827,1702],{"className":1828},[648],[576,1830,597],{"className":1831,"style":650},[648,649],[576,1833],{"className":1834,"style":833},[700],[576,1836,1134],{"className":1837},[837],[576,1839],{"className":1840,"style":833},[700],[576,1842,1844,1847,1850,1853],{"className":1843},[639],[576,1845],{"className":1846,"style":1318},[643],[576,1848,1709],{"className":1849},[648],[576,1851],{"className":1852,"style":941},[700],[576,1854,1856,1862],{"className":1855},[648],[576,1857,1859],{"className":1858},[648,945],[576,1860,902],{"className":1861},[648],[576,1863,1865],{"className":1864},[665],[576,1866,1868],{"className":1867},[669],[576,1869,1871],{"className":1870},[673],[576,1872,1874],{"className":1873,"style":1318},[677],[576,1875,1876,1879],{"style":1321},[576,1877],{"className":1878,"style":686},[685],[576,1880,1882],{"className":1881},[690,691,692,693],[576,1883,895],{"className":1884},[648,693],[558,1886,1888],{"id":1887},"typische-fehler","Typische Fehler",[1890,1891,1892,2259,2262],"ul",{},[1893,1894,1895,1986,1987,2099,2100,949,2151,2202,2203,1986,2231,749],"li",{},[576,1896,1898,1924],{"className":1897},[579],[576,1899,1901],{"className":1900},[583],[585,1902,1903],{"xmlns":587},[589,1904,1905,1921],{},[592,1906,1907,1909,1911,1913,1915],{},[599,1908,602],{"stretchy":601},[595,1910,608],{},[599,1912,615],{},[595,1914,620],{},[604,1916,1917,1919],{},[599,1918,625],{"stretchy":601},[610,1920,612],{},[627,1922,1923],{"encoding":629},"(R - r)^2",[576,1925,1927,1948],{"className":1926,"ariaHidden":635},[634],[576,1928,1930,1933,1936,1939,1942,1945],{"className":1929},[639],[576,1931],{"className":1932,"style":1213},[643],[576,1934,602],{"className":1935},[654],[576,1937,608],{"className":1938,"style":661},[648,649],[576,1940],{"className":1941,"style":701},[700],[576,1943,615],{"className":1944},[705],[576,1946],{"className":1947,"style":701},[700],[576,1949,1951,1954,1957],{"className":1950},[639],[576,1952],{"className":1953,"style":644},[643],[576,1955,620],{"className":1956,"style":721},[648,649],[576,1958,1960,1963],{"className":1959},[748],[576,1961,625],{"className":1962},[748],[576,1964,1966],{"className":1965},[665],[576,1967,1969],{"className":1968},[669],[576,1970,1972],{"className":1971},[673],[576,1973,1975],{"className":1974,"style":678},[677],[576,1976,1977,1980],{"style":681},[576,1978],{"className":1979,"style":686},[685],[576,1981,1983],{"className":1982},[690,691,692,693],[576,1984,612],{"className":1985},[648,693]," statt ",[576,1988,1990,2016],{"className":1989},[579],[576,1991,1993],{"className":1992},[583],[585,1994,1995],{"xmlns":587},[589,1996,1997,2013],{},[592,1998,1999,2005,2007],{},[604,2000,2001,2003],{},[595,2002,608],{},[610,2004,612],{},[599,2006,615],{},[604,2008,2009,2011],{},[595,2010,620],{},[610,2012,612],{},[627,2014,2015],{"encoding":629},"R^2 - r^2",[576,2017,2019,2064],{"className":2018,"ariaHidden":635},[634],[576,2020,2022,2026,2055,2058,2061],{"className":2021},[639],[576,2023],{"className":2024,"style":2025},[643],"height:0.8974em;vertical-align:-0.0833em;",[576,2027,2029,2032],{"className":2028},[648],[576,2030,608],{"className":2031,"style":661},[648,649],[576,2033,2035],{"className":2034},[665],[576,2036,2038],{"className":2037},[669],[576,2039,2041],{"className":2040},[673],[576,2042,2044],{"className":2043,"style":678},[677],[576,2045,2046,2049],{"style":681},[576,2047],{"className":2048,"style":686},[685],[576,2050,2052],{"className":2051},[690,691,692,693],[576,2053,612],{"className":2054},[648,693],[576,2056],{"className":2057,"style":701},[700],[576,2059,615],{"className":2060},[705],[576,2062],{"className":2063,"style":701},[700],[576,2065,2067,2070],{"className":2066},[639],[576,2068],{"className":2069,"style":678},[643],[576,2071,2073,2076],{"className":2072},[648],[576,2074,620],{"className":2075,"style":721},[648,649],[576,2077,2079],{"className":2078},[665],[576,2080,2082],{"className":2081},[669],[576,2083,2085],{"className":2084},[673],[576,2086,2088],{"className":2087,"style":678},[677],[576,2089,2090,2093],{"style":681},[576,2091],{"className":2092,"style":686},[685],[576,2094,2096],{"className":2095},[690,691,692,693],[576,2097,612],{"className":2098},[648,693]," rechnen. Das ergibt bei ",[576,2101,2103,2121],{"className":2102},[579],[576,2104,2106],{"className":2105},[583],[585,2107,2108],{"xmlns":587},[589,2109,2110,2118],{},[592,2111,2112,2114,2116],{},[595,2113,608],{},[599,2115,807],{},[610,2117,895],{},[627,2119,2120],{"encoding":629},"R = 3",[576,2122,2124,2142],{"className":2123,"ariaHidden":635},[634],[576,2125,2127,2130,2133,2136,2139],{"className":2126},[639],[576,2128],{"className":2129,"style":915},[643],[576,2131,608],{"className":2132,"style":661},[648,649],[576,2134],{"className":2135,"style":833},[700],[576,2137,807],{"className":2138},[837],[576,2140],{"className":2141,"style":833},[700],[576,2143,2145,2148],{"className":2144},[639],[576,2146],{"className":2147,"style":934},[643],[576,2149,895],{"className":2150},[648],[576,2152,2154,2172],{"className":2153},[579],[576,2155,2157],{"className":2156},[583],[585,2158,2159],{"xmlns":587},[589,2160,2161,2169],{},[592,2162,2163,2165,2167],{},[595,2164,620],{},[599,2166,807],{},[610,2168,612],{},[627,2170,2171],{"encoding":629},"r = 2",[576,2173,2175,2193],{"className":2174,"ariaHidden":635},[634],[576,2176,2178,2181,2184,2187,2190],{"className":2177},[639],[576,2179],{"className":2180,"style":826},[643],[576,2182,620],{"className":2183,"style":721},[648,649],[576,2185],{"className":2186,"style":833},[700],[576,2188,807],{"className":2189},[837],[576,2191],{"className":2192,"style":833},[700],[576,2194,2196,2199],{"className":2195},[639],[576,2197],{"className":2198,"style":934},[643],[576,2200,612],{"className":2201},[648]," nur ",[576,2204,2206,2219],{"className":2205},[579],[576,2207,2209],{"className":2208},[583],[585,2210,2211],{"xmlns":587},[589,2212,2213,2217],{},[592,2214,2215],{},[610,2216,1391],{},[627,2218,1391],{"encoding":629},[576,2220,2222],{"className":2221,"ariaHidden":635},[634],[576,2223,2225,2228],{"className":2224},[639],[576,2226],{"className":2227,"style":934},[643],[576,2229,1391],{"className":2230},[648],[576,2232,2234,2247],{"className":2233},[579],[576,2235,2237],{"className":2236},[583],[585,2238,2239],{"xmlns":587},[589,2240,2241,2245],{},[592,2242,2243],{},[610,2244,1483],{},[627,2246,1483],{"encoding":629},[576,2248,2250],{"className":2249,"ariaHidden":635},[634],[576,2251,2253,2256],{"className":2252},[639],[576,2254],{"className":2255,"style":934},[643],[576,2257,1483],{"className":2258},[648],[1893,2260,2261],{},"Durchmesser statt Radius einsetzen.",[1893,2263,2264],{},"Die Länge in Metern und die Radien in Zentimetern 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